164713753 has 2 divisors, whose sum is σ = 164713754. Its totient is φ = 164713752.

The previous prime is 164713739. The next prime is 164713763. The reversal of 164713753 is 357317461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109998144 + 54715609 = 10488^2 + 7397^2 .

It is a cyclic number.

It is not a de Polignac number, because 164713753 - 2²⁵ = 131159321 is a prime.

It is not a weakly prime, because it can be changed into another prime (164713733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82356876 + 82356877.

It is an arithmetic number, because the mean of its divisors is an integer number (82356877).

Almost surely, 2^164713753 is an apocalyptic number.

It is an amenable number.

164713753 is a deficient number, since it is larger than the sum of its proper divisors (1).

164713753 is an equidigital number, since it uses as much as digits as its factorization.

164713753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 52920, while the sum is 37.

The square root of 164713753 is about 12834.0855926708. The cubic root of 164713753 is about 548.1632980317.

It can be divided in two parts, 1647 and 13753, that added together give a triangular number (15400 = T₁₇₅).

The spelling of 164713753 in words is "one hundred sixty-four million, seven hundred thirteen thousand, seven hundred fifty-three".